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The language of mathematics has a wide vocabulary of specialist and technical terms. It also has a certain amount of jargon: commonly used phrases which are part of the culture of mathematics, rather than of the subject.
The Quine–Putnam indispensability argument supports the conclusion that mathematical objects exist with the idea that mathematics is indispensable to our best scientific theories. [5] It relies on the view, called confirmational holism , that scientific theories are confirmed as wholes, and that the confirmations of science extend to the ...
A sine qua non (/ ˌ s aɪ n i k w eɪ ˈ n ɒ n, ˌ s ɪ n i k w ɑː ˈ n oʊ n /, [1] Latin: [ˈsɪnɛ kʷaː ˈnoːn]) or conditio sine qua non (plural: conditiones sine quibus non) is an indispensable and essential action, condition, or ingredient.
A mathematical symbol is a figure or a combination of figures that is used to represent a mathematical object, an action on mathematical objects, a relation between mathematical objects, or for structuring the other symbols that occur in a formula.
The argument is described by the following syllogism: [7] ( Premise 1) We ought to have ontological commitment to all and only the entities that are indispensable to our best scientific theories. (Premise 2) Mathematical entities are indispensable to our best scientific theories.
Mathematical entities are indispensable to our best scientific theories. Therefore, we ought to have ontological commitment to mathematical entities. Nominalists , philosophers who reject the existence of abstract objects, have argued against both premises of this argument.
In logic, a set of symbols is commonly used to express logical representation. The following table lists many common symbols, together with their name, how they should be read out loud, and the related field of mathematics.
Math anxiety manifests itself in a variety of ways, including physical, psychological, and behavioral symptoms, that can all disrupt a student's mathematical performance. [11] The strong negative correlation between high math anxiety and low achievement is often thought to be due to the impact of math anxiety on working memory.